Find the Derivative - d/dx sin(x)^4

Problem

d(sin(x))/d(x)

Solution

1. Identify the outer and inner functions to apply the Chain Rule. The outer function is u4 where u=sin(x)

2. Apply the Power Rule to the outer function, which gives 4*u3

3. Differentiate the inner function sin(x) to get cos(x)

4. Multiply the results of the outer and inner derivatives together.

5. Simplify the expression by combining the terms.

Final Answer

d(sin(x))/d(x)=4*sin(x)*cos(x)

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